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505300000 = 255531163
BaseRepresentation
bin11110000111100…
…100010000100000
31022012210220021211
4132013210100200
52013324100000
6122050155504
715343656562
oct3607442040
91265726254
10505300000
1123a257407
12121282b94
13808bc5aa
144b175332
152e5637ba
hex1e1e4420

505300000 has 144 divisors (see below), whose sum is σ = 1291417344. Its totient is φ = 194400000.

The previous prime is 505299989. The next prime is 505300007. The reversal of 505300000 is 3505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3099919 + ... + 3100081.

It is an arithmetic number, because the mean of its divisors is an integer number (8968176).

Almost surely, 2505300000 is an apocalyptic number.

505300000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645708672).

505300000 is an abundant number, since it is smaller than the sum of its proper divisors (786117344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505300000 is an equidigital number, since it uses as much as digits as its factorization.

505300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 505300000 is about 22478.8789756073. The cubic root of 505300000 is about 796.4950835424.

Adding to 505300000 its reverse (3505), we get a palindrome (505303505).

The spelling of 505300000 in words is "five hundred five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 163 200 248 250 310 326 400 496 500 620 625 652 775 800 815 992 1000 1240 1250 1304 1550 1630 2000 2480 2500 2608 3100 3125 3260 3875 4000 4075 4960 5000 5053 5216 6200 6250 6520 7750 8150 10000 10106 12400 12500 13040 15500 16300 19375 20000 20212 20375 24800 25000 25265 26080 31000 32600 38750 40424 40750 50000 50530 62000 65200 77500 80848 81500 96875 100000 101060 101875 124000 126325 130400 155000 161696 163000 193750 202120 203750 252650 310000 326000 387500 404240 407500 505300 509375 620000 631625 652000 775000 808480 815000 1010600 1018750 1263250 1550000 1630000 2021200 2037500 2526500 3100000 3158125 3260000 4042400 4075000 5053000 6316250 8150000 10106000 12632500 15790625 16300000 20212000 25265000 31581250 50530000 63162500 101060000 126325000 252650000 505300000